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SageMath
E = EllipticCurve("kz1")
E.isogeny_class()
Elliptic curves in class 346560.kz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.kz1 | 346560kz1 | \([0, 1, 0, 265215, -109805985]\) | \(463391/1440\) | \(-6411080375740661760\) | \([]\) | \(5253120\) | \(2.2920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.kz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346560.kz do not have complex multiplication.Modular form 346560.2.a.kz
sage: E.q_eigenform(10)